SOLUTION: A vending machine has a total of 3690 pesos in it in 20 and 50 peso bills. If the number of 50 pesos bills is 10 more than twice the 20 pesos bills. How many of each kind are there

Question 943907: A vending machine has a total of 3690 pesos in it in 20 and 50 peso bills. If the number of 50 pesos bills is 10 more than twice the 20 pesos bills. How many of each kind are there?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
T=20 peso bills; F=50 peso bills=2T+10
20T+50F=3690 Substitute for F
20T+50(2T+10)=20T+100T+500=3690
120T+500=3690 Subtract 500 from each side
120T+500-500=3690-500
120T=3190 divide each side by 120
120T/120=3190/120
T=26.58=27 ANSWER 1 There are 27 - 20 peso bills in the machine
F=2T+10=53.16+10=63.16=63 ANSWER 2 there are 63 - 50 peso bills in the machine
CHECK:
20T+50F=3690
20(27)+50(63)=3690
540+3150=3690
3690=3690
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